Petr Vaníček | Academic Influence

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Petr Vaníček

Physics

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#7917

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Physics

Petr Vaníček's Degrees

PhD Geophysics University of British Columbia
Masters Geophysics University of British Columbia
Bachelors Physics Charles University

Why Is Petr Vaníček Influential?

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According to Wikipedia, Petr Vaníček is a Czech Canadian geodesist and theoretical geophysicist who has made important breakthroughs in theory of spectrum analysis and geoid computation. Main contributions Research One of Vaníček's main contributions of general relevance is least-squares spectral analysis, also called the Vaníček method and the Gauss-Vaniček method — a frequency spectrum computation method published in 1969 and 1971. It is based on a least-squares fit of sinusoidss to the data samples, and mitigates the drawbacks of applying Fourier analysis for analyzing long incomplete data records such as most natural datasets. Unlike with Fourier analysis, data need not be equally spaced to use Vaníček analysis.

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Petr Vaníček's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Geodesy, the concepts (1982) (511)
Further development and properties of the spectral analysis by least-squares (1971) (254)
Approximate spectral analysis by least-squares fit (1969) (183)
Geodetic leveling and its applications (1980) (121)
Reformulation of Stokes's theory for higher than second‐degree reference field and modification of integration kernels (1991) (107)
Determination of the boundary values for the Stokes–Helmert problem (1999) (99)
Performance of three types of Stokes's kernel in the combined solution for the geoid (1998) (87)
New views of the spherical Bouguer gravity anomaly (2004) (86)
The rigorous determination of orthometric heights (2005) (77)
Downward continuation of Helmert's gravity (1996) (75)
Robustness analysis of geodetic horizontal networks (2001) (74)
GEOID and Its GEOPHYSICAL INTERPRETATIONS (1993) (73)
Effect of topographical density on geoid in the Canadian Rocky Mountains (2001) (70)
Higher-degree reference field in the generalized Stokes-Helmert scheme for geoid computation (1995) (62)
Global displacements caused by point dislocations in a realistic Earth model (1996) (62)
UNB application of Stokes–Helmert's approach to geoid computation (2007) (60)
The relation between rigorous and Helmert’s definitions of orthometric heights (2006) (53)
Effects of the spherical terrain on gravity and the geoid (2001) (51)
Transformation of coordinates between two horizontal geodetic datums (1996) (47)
Geoid versus quasigeoid: a case of physics versus geometry (2012) (42)
Evaluation of topographical effects in precise geoid computation from densely sampled heights (1996) (41)
Pattern of recent vertical crustal movements in Canada (2008) (40)
The role of coordinate systems, coordinates and heights in horizontal datum transformations (1999) (40)
Secondary indirect effects in gravity anomaly data inversion or interpretation (2007) (31)
A synthetic Earth Gravity Model Designed Specifically for Testing Regional Gravimetric Geoid Determination Algorithms (2006) (31)
To the problem of noise reduction in sea-level records used in vertical crustal movement detection (1978) (31)
Mean Free-Air Gravity Anomalies in the Mountains (2005) (30)
Slow deformation and transmission of stress in the earth (1989) (30)
Further Analysis of Vertical Crustal Movement Observations in the Lac St. Jean Area, Quebec (1972) (29)
Global ellipsoid-referenced topographic, bathymetric and stripping corrections to gravity disturbance (2008) (28)
A Method for the Evaluation of Vertical Crustal Movement from Scattered Geodetic Relevellings (1974) (27)
Sub-centimetre geoid (2018) (26)
On some problems of the downward continuation of the 5′×5′ mean Helmert gravity disturbance (1998) (26)
Pattern of recent vertical crustal movements in Maritime Canada (1976) (26)
Four-Dimensional Modeling of Recent Vertical Movements in the Area of the Southern California Uplift (1979) (26)
Explicit formula for the geoid-quasigeoid separation (2006) (25)
Compilation of a precise regional geoid (2004) (24)
Poisson Downward Continuation Solution by the Jacobi Method (2010) (23)
A new physical foundation for anomalous gravity (2006) (23)
On the weight estimation in leveling (1980) (23)
On the compilation of the map of contemporary vertical crustal movements in Canada (1981) (22)
Investigation of local variations of sea‐surface topography (1983) (22)
Short Note: Strain invariants (2008) (22)
Contemporary crustal movements in Canada (1979) (20)
The orthometric height and the holonomity problem (2006) (20)
Formulation and validation of a global laterally varying topographical density model (2019) (19)
Formulation of the boundary-value problem for geoid determination with a higher-degree reference field (1996) (18)
TOWARD AN IMPROVED ORTHOMETRIC HEIGHT SYSTEM FOR CANADA (2005) (17)
On the correct determination of transformation parameters of a horizontal geodetic datum (2002) (16)
In defense of the classical height system (2017) (16)
A comparison of present sea level linear trends from tide gauge data and radiocarbon curves in Eastern Canada (1988) (16)
Computation of precise geoid model of Auvergne using current UNB Stokes-Helmert’s approach (2017) (14)
Robustness Analysis of Two-Dimensional Networks (2006) (14)
Effect of mathematical correlation on GPS network computation (1997) (13)
Geoid and density anomalies (1989) (13)
CORRECTION TO HELMERT'S ORTHOMETRIC HEIGHT DUE TO ACTUAL LATERAL VARIATION OF TOPOGRAPHICAL DENSITY (2009) (12)
Testing Stokes-Helmert geoid model computation on a synthetic gravity field: experiences and shortcomings (2013) (12)
Robustness analysis of 3D networks (2009) (11)
Does Poisson’s downward continuation give physically meaningful results? (2017) (11)
Alignment of geodetic and satellite coordinate systems to the average terrestrial system (1975) (11)
Determination of the geoid from deflections of the vertical using a least-squares surface fitting technique (1973) (11)
Estimation of rod scale errors in geodetic leveling (1995) (11)
Compilation of a Map of Recent Vertical Crustal Movements in Eastern Canada Using Geographic Information System (2006) (11)
Positioning of Horizontal Geodetic Datums (1974) (11)
Geometrical aspects of differential GPS positioning (1984) (10)
Tidal corrections to geodetic quantities (1980) (10)
An Attempt for an Amazon Geoid Model Using Helmert Gravity Anomaly (2009) (10)
Optimal Combination of Satellite and Terrestrial Gravity Data for Regional Geoid Determination Using Stokes-Helmert’s Method, the Auvergne Test Case (2017) (10)
Truncated geoid and gravity inversion for one point-mass anomaly (1999) (10)
Topographic gravimetric effects in earth sciences: Review of origin, significance and implications (2020) (10)
CHAPTER 13 – ASSESSMENT OF RESULTS (1986) (9)
Vertical crustal movements in Nova Scotia as determined from scattered geodetic relevellings (1975) (9)
Far-Zone Contributions to Topographical Effects in the Stokes-Helmert Method of the Geoid Determination (2003) (9)
On Gravity Inversion for Point Mass Anomalies by Means of the Truncated Geoid (1997) (9)
The map of contemporary vertical crustal movements in Canada (1980) (9)
Further analysis of the 1981 Southern California Field Test for leveling refraction (1986) (9)
Gravity disturbances in regions of negative heights: A reference quasi-ellipsoid approach (2008) (9)
Modeling topographical density for geoid determination (2009) (8)
Numerical behaviour of the downward continuation of gravity anomalies (2011) (8)
Automatic tracing of the foot of the continental slope (1996) (8)
New analysis of the earth-pole wobble (1969) (7)
Truncation of Spherical Convolution Integrals with an Isotropic Kernel (2003) (7)
The Geoid and Datum Translation Components (1974) (7)
Numerical investigation of downward continuation techniques for gravity anomalies (2003) (7)
Modeling topographical density for geoid determinationThis article is one of a series of papers published in this Special Issue on the theme GEODESY. (2009) (6)
Satellite altimetry applications for marine gravity (1987) (6)
Horizontal Control and the Geoid in Canada (1973) (5)
Effects of Hypothetical Complex Mass-Density Distributions on Geoidal Height (2012) (5)
Mean Vertical Gradient of Gravity (2001) (5)
Simulation of the Impact of Diffuse Shading on the Yields of Large Scale Single Axis Tracked PV-Plants (2009) (5)
Tensor structure and the least squares (1979) (5)
Towards a new combined geoid for Canada (1986) (4)
The 3-D Truncation Filtering Methodology Defined for Planar and Spherical Models: Interpreting Gravity Data Generated by Point Masses (2002) (4)
A Technique for Determining the Geoid From a Combination of Astrogeodetic and Gravimetric Deflections (1974) (4)
Is the Average Photon Energy (APE) a Suitable Measure to Describe the Uniqueness of Solar Spectra (2014) (4)
International Symposium on Problems Related to the Redefinition of North American Geodetic Networks (1974) (4)
Rigorous Densification of Horizontal Network (1986) (4)
Environment and Geoscience (2008) (4)
New Gravimetric Geoid for Canada: The “UNB ’90” Solution (1991) (4)
The use of smooth piecewise algebraic approximation in the determination of vertical crustal movements in Eastern Canada (2007) (3)
Uncertainty in Yield Prediction – What are the Causes, How Can They be Reduced? (2010) (3)
A SEAMLESS VERTICAL-REFERENCE SURFACE FOR ACQUISITION, MANAGEMENT AND DISPLAY (ECDIS) OF HYDROGRAPHIC DATA (2004) (3)
Netan — a computer program for the interactive analysis of geodetic networks (1989) (3)
NAVIGATING BY MEANS OF A POSITION POTENTIAL (2000) (3)
FAR-ZONE CONTRIBUTION TO UPWARD CONTINUATION OF GRAVITY ANOMALIES (2009) (3)
On the accuracy of a regional geoid (1999) (3)
Effect of common point selection on coordinate transformation parameter determination (2006) (2)
An attempt to determine long-periodic variations in the drift of horizontal pendulums (1971) (2)
The theory of motion of the horizontal pendulum with a Zöllner suspension and some indications for the instrumental design (1972) (2)
Further development and application of the spectral analysis by least squares fit (1969) (2)
CHAPTER 1 – HISTORY OF GEODESY (1986) (2)
A new look at the U.S. Geological Survey 1970–1980 horizontal crustal deformation data around Hollister, California (1991) (2)
Towards a Real-Time Tidal Analysis and Prediction (1994) (2)
Corrections to `Robustness analysis of geodetic horizontal networks' (2002) (2)
CHAPTER 6 – EARTH AND ITS GRAVITY FIELD (1986) (2)
Reference ellipsoid misalignment, deflection components and geodetic azimuth (1985) (1)
Least squares spectral analysis of gravity data from the Canadian superconducting gravimeter: an ongoing project report (2004) (1)
Kernel Modification in Generalized Stokes’s Technique for Geoid Determination (1990) (1)
Part III References (2021) (1)
CHAPTER 2 – GEODESY AND OTHER DISCIPLINES (1986) (1)
Harmonic downward continuation of gravity anomalies (2018) (1)
Mean Gravity Along the Plumbline (2004) (1)
A special case of the Poisson PDE formulated for Earth's surface and its capability to approximate the terrain mass density employing land-based gravity data, a case study in the south of Iran (2016) (1)
Hiking and biking with GPS: The Canadian perspective (1988) (1)
Quality of the Calculation of Inverter Losses with Standard Simulation Programs (2011) (1)
Insights into the Mexican Gravimetric Geoid (GGM05) (2009) (1)
NOTE ON THE REDUCTION OF SPATIAL DISTANCES TO A REFERENCE ELLIPSOID (1974) (1)
Dynamical Aspects of the Suspended Gyrocompass (1972) (1)
CHAPTER 26 – DETECTION OF VERTICAL MOVEMENTS (1986) (1)
Rigorous Evaluation of Gravity Field Functionals from Satellite-Only Gravitational Models Within Topography (2017) (1)
Calculation of the spherical terrain correction to Helmert's orthometric height (2004) (1)
Harmonic Continuation and Gravimetric Inversion of Gravity in Areas of Negative Geodetic Heights (2010) (0)
CHAPTER 19 – HEIGHT NETWORKS (1986) (0)
The Contribution of Northern US Geodetic Data to the Study of Vertical Deformations of the Crust in Canada (2006) (0)
Some Possible Additional Answers (2013) (0)
English Translation of the New German PV Manual (2013) (0)
THE EARTH TIDES (2005) (0)
Numerical evaluation of mean values of topographical effects (2011) (0)
Modeling topographical density for geoid determination 1 (2009) (0)
Editorial. Journal of Geodesy (1995) (0)
Free oscillation of the Earth from gravimetric terrestrial spectroscopy (2001) (0)
CGU takes off (1988) (0)
CHAPTER 20 – GLOBAL TREATMENT OF THE GRAVITY FIELD (1986) (0)
obustness analysis of 3 D networks (2008) (0)
General Adjustment of the Fundamental Gravity Network in Mexico, Preliminary Results. (2014) (0)
REPORT ON GEOCENTRIC AND GEODETIC DATUMS (2007) (0)
PART VI – REFERENCES (1986) (0)
CHAPTER 17 – THREE-DIMENSIONAL NETWORKS (1986) (0)
Optimisation of the Orientation of Large Scale Roof Mounted PV Systems In Respect to Own Consumption (2013) (0)
CHAPTER 27 – DETECTION OF HORIZONTAL MOVEMENTS (1986) (0)
On Ambiguities in Definitions and Applications of Bouguer Gravity Anomaly (2010) (0)
Analysis and comparison of chosen FX – strategy (2006) (0)
Geodesy: still the scientific backbone of surveying and mapping (1991) (0)
Applications of Geodesy to Geodynamics: 5. Vertical Crustal Movements (Terrestrial Techniques) (1979) (0)
PART IV – REFERENCES (1986) (0)
PART 1 – REFERENCES (1986) (0)
Chapter 4 Harmonic Continuation and Gravimetric Inversion of Gravity in Areas of Negative Geodetic (2010) (0)
What Height System Should be Used in Geomatics (2019) (0)
CHAPTER 7 – EARTH AND ITS SIZE AND SHAPE (1986) (0)
CHAPTER 15 – POINT POSITIONING (1986) (0)
CHAPTER 18 – HORIZONTAL NETWORKS (1986) (0)
Gravity and height measurements along the profile of Damavand mountain in Iran (2009) (0)
Geoid Undulation, Interpretation (2020) (0)
PART V – REFERENCES (1986) (0)
PART II – REFERENCES (1986) (0)
GEOID-QUASIGEOID CORRECTION IN FORMULATION OF THE FUNDAMENTAL FORMULA OF PHYSICAL GEODESY (2006) (0)
On the Errors in the Delimitation of Maritime Spaces (1998) (0)
Contemporary vertical crustal mouvements in southern Ontario (1977) (0)
Book review (1990) (0)
CHAPTER 3 – MATHEMATICS AND GEODESY (1986) (0)
Poisson downward continuation of scattered Helmert's gravity anomalies to mean values on a raster on the geoid using least squares (2016) (0)
Book review (1991) (0)
CHAPTER 9 – EARTH AND ITS ATMOSPHERE (1986) (0)
How gravity field shortened our metre (2019) (0)
CHAPTER 8 – EARTH AND ITS DEFORMATIONS IN TIME (1986) (0)
CHAPTER 24 – DETERMINATION OF THE GRAVITY FIELD FROM DEFLECTIONS AND FROM HETEROGENEOUS DATA (1986) (0)
Smooth Piecewise Algebraic Approximation as Applied to Large-Scale 2D Scattered Geodetic Data Fitting (2011) (0)
Atmospheric effect in the three-space scenario for the Stokes-Helmert method of geoid determination (2004) (0)
STUDY OF CORRECTIONS TO OBTAIN THE RIGOROUS ORTHOMETRIC HEIGHT (2017) (0)
Foreword to second edition (2021) (0)
CHAPTER 10 – ELEMENTS OF GEODETIC METHODOLOGY (1986) (0)
Short Term Performance Ratio Acceptance Test for Large Scale PV Power Plants (2012) (0)
CHAPTER 5 – EARTH AND ITS MOTIONS (1986) (0)
CHAPTER 23 – DETERMINATION OF THE GRAVITY FIELD FROM OBSERVATIONS TO SATELLITES (1986) (0)
The Far Zone Contribution in Spherical Stokes Integration (2002) (0)
The cost in accuracy of assuming a lateral density distribution in corrections to Helmert orthometric heights (2006) (0)
CHAPTER 11 – CLASSES OF MATHEMATICAL MODELS (1986) (0)
Can Mean Values of Helmert’s Gravity Anomalies be Continued Downward Directly? (2019) (0)
System-Technical Area Optimization of Large Scale Open Space PV Plants (2012) (0)
A symposium on Satellite Geodesy and Geodynamics (1976) (0)
Australian Synthetic Earth Gravity Field Model (aussegm) V a Rgional Earth Gravity Field Model (2004) (0)
PROPOSING A NEW STRATEGY TO MAKE PRECISE RE-LEVELING OBSERVATIONS OF IRAN IN VERTICAL GEODYNAMICAL STUDIES (2013) (0)
The role of new terrestrial gravity/GPS/levelling data, GRACE geopotential model and SRTM elevations on the earth gravity field modelling and its changes in Iran (2010) (0)
CHAPTER 12 – LEAST-SQUARES SOLUTION OF OVERDETERMINED MODELS (1986) (0)
Satellite geodesy and geodynamics (1988) (0)
The Effect of Data Density on the Accuracy of Foot-Line Determination Through Maximum Curvature Surface by Automatic Ridge-Tracing Algorithm (2015) (0)
CHAPTER 16 – RELATIVE POSITIONING (1986) (0)
CHAPTER 25 – CORRECTIONS FOR TEMPORAL VARIATIONS (1986) (0)
Principles of Orbit Improvement and Generation of Ephemerides for the Global Positloning System Satellites (2018) (0)
CHAPTER 4 – STRUCTURE OF GEODESY (1986) (0)
DGS Manual for PV-Systems - Now in 4th Edition (2010) (0)
OUR METRE IS TOO SHORT: BLAME GRAVITY FOR IT (2018) (0)
CHAPTER 14 – FORMULATION AND SOLVING OF PROBLEMS (1986) (0)
CHAPTER 22 – DETERMINATION OF THE GRAVITY FIELD FROM GRAVITY OBSERVATIONS (1986) (0)
Glacial Isostatic Adjustment Observed using Historical Tide Gauge Records and Precise Relevelling Data in Eastern Canada (2004) (0)

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