Estimating the cost to Helmert heights of a lateral approximation of the topographical density distribution Robert Kingdon1, Artu Ellmann1, Petr Vanicek1,

Slides:



Advertisements
Similar presentations
Quantifying the effect of extrusion processing of a confectionery paste Peter Martin Lecturer, Chemical Engineering & Analytical Science The University.
Advertisements

Key Question How do you make a topographical map from a 3-dimensional surface? These are the key questions we will be investigating in this workshop.
A Comparison of topographic effect by Newton’s integral and high degree spherical harmonic expansion – Preliminary Results YM Wang, S. Holmes, J Saleh,
RADIAL BASIS FUNCTIONS FITTING METHODS AND SMOOTH PIECEWISE ALGEBRAIC APPROXIMATION AS APPLIED TO DETERMINE POSTGLACIAL TILT IN THE CANADIAN PRAIRIES Azadeh.
John M. Buffington Research Geomorphologist US Forest Service Rocky Mountain Research Station Boise, Idaho, USA PNAMP Protocol Comparison Meeting February.
By Megan and Slade. A topographic map is a map that shoes the surface features, or topography, of the Earth. Topographic maps show both natural features,
Section 3: Types of Maps Preview Objectives Topographic Maps
Sci. 1-3 Topographic Maps Pages
How to read and understand topographic maps
Topographic Maps.
Section 3: Types of Maps Objectives
Topographic Maps.
Civil Engineering Quiz
Geodetic Research Laboratory, Department of Geodesy and Geomatics Engineering Workshop, October 27 – 28, 2006, Quebec city, Quebec Sükeová, Liliána 1 L2C.
National report of LITHUANIA THE 4th BALTIC SURVEYORS FORUM, 2013, Ventspils, LATVIA Eimuntas Parseliunas Geodetic Institute of Vilnius Technical University.
© red ©
Geographic Datums Y X Z The National Imagery and Mapping Agency (NIMA) and the Defense Mapping School Reviewed by:____________ Date:_________ Objective:
Contour Lines and Topographic Maps
What are the differences between a topographic map and a road map?
13/06/13 H. Rho Slide 1 Geodetic Research Laboratory Department of Geodesy and Geomatics Engineering University of New Brunswick Evaluation of Precise.
Areas How do you work out the area of this shape ? HINT.
Chapter 8: Mapping Earth’s Surface
Puerto Rico Airborne Gravity Data Modeling
Geodetic Research Laboratory, Department of Geodesy and Geomatics Engineering GEOIDE Project 31 Quebec Workshop, October 2006, Quebec Farret and.
AGU Joint Assembly / May 23-26, 2006 The cost of assuming a lateral density distribution in corrections to Helmert orthometric heights 1 Department of.
GRAV-D Project Update Vicki Childers, Ph.D. GRAV-D Project Manager.
Color Vision by Sabina Siddiqi. The idea Simulate the image that is formed on the retina of the human eye BEFORE it reaches the brain.
How are different types of maps distinguished?
Geoid Height Models at NGS Dan Roman Research Geodesist.
Lecture 7 – More Gravity and GPS Processing GISC February 2009.
The National Geodetic Survey Gravity Program Benefits and Opportunities Juliana Blackwell, Director National Geodetic Survey (NGS)
Map Basics Lecture #3, Intro to GIS spring Topics Map definitions Types of maps Map projections Geodetic Datums Coordinate Systems.
Data Requirements for a 1-cm Accurate Geoid
Topics Know how latitude and longitude are set up (If given a point you should be able to find a general location on the earth) Map projections ○ If given.
August 1999PM Data Analysis Workbook: Characterizing PM23 Spatial Patterns Urban spatial patterns: explore PM concentrations in urban settings. Urban/Rural.
Earth Science Vodcast Network ESVN. Topographic Maps.
How to read a topographical map
Full Resolution Geoid from GOCE Gradients for Ocean Modeling Matija Herceg & Per Knudsen Department of Geodesy DTU Space living planet symposium 28 June.
How much wetlands? What is the area of the triangular region of wetlands?
Gravity Summary In first approximation we can chose for the shape of the Earth an ellipsoid of rotation defined essentially by the degree n=2 m=0 of the.
Geodetic Research Laboratory Department of Geodesy and Geomatics Engineering University of New Brunswick 2/20/2016 K. Cove 1 Carrier Phase Differential.
Lesson 3: Earth’s Surface. Ocean and Continents Earth’s surface is made of oceans and continents. Oceans cover more than 70% of Earth surface.
Map Reading and Interpretation
Models of the Earth Section 3 Section 3: Types of Maps Preview Key Ideas Topographic Maps Topographic Maps and Contour Lines Index Contour, Contour Interval,
The Distributive Property Section 1.4. Distributive Property.
GOCE/GRACE GGM evaluation over Greece with GPS/Leveling and gravity data G.S. Vergos, V.D. Grigoriadis, I.N. Tziavos, D.A. Natsiopoulos, E.A. Tzanou.
Poisson downward continuation of scattered Helmert’s gravity anomalies to mean values on a raster on the geoid using Least Square Ismael Foroughi 1, Petr.
Green River Topographic Map Activity. 1.What is the contour interval?
Models of Earth Lesson 8. A simplified topographic map.
Analyzing Sea Level Rise Due to Melting of Antarctic Ice
E.Q: How do map makers represent elevations, relief and slope?
Reading a Normal Curve Table
Chapter 3 Section 3 Types of Maps Objectives
Topographic Maps may also use color do show different altitudes.
Topographic Maps mdeppe 2010.
Difference between GPS ellipsoid and sea level heights (N)
Make your map 3D 1. Trace Contour Map of Mt. Capulin onto White Paper
Volume of a Cone – The volume of a cone is V = Bh = r2h, where B is the area of the base, h is the height and r is the radius of the base.
Rocks and Landforms I-2 Notes
Rocks and Landforms I-2 Notes
How can a Topographic Profile be Constructed?
Geological Map.
Epidemic spreading simulations in Portugal.
Gravitational Potential Energy
What Color is it?.
Geoid Enhancement in the Gulf Coast Region
Topographic Maps Topographic Maps -- maps used to show changes in elevation Shows how high the land is above sea level Shows how much the.
Update on POLA-01 measurements in Catania
Fundamentals of Geodesy
Geological Map.
Presentation transcript:

Estimating the cost to Helmert heights of a lateral approximation of the topographical density distribution Robert Kingdon1, Artu Ellmann1, Petr Vanicek1, Marcelo Santos1 1Department of Geodesy and Geomatics Engineering, University of New Brunswick, Fredericton, New Brunswick E3B 5A3 Type B Simulations Type A Simulations Helmert Orthometric Heights vs Rigorous Orthometric Heights θ=45° B1 θ=30° B2 θ=15° B3 Helmert’s Mean Gravity: Cone A1 Wedge A2 Slab A3 A1 B1 Rigorous Mean Gravity: Corrections to Helmert’s Mean Gravity: Values from 0 (red) to 5.7 (blue) cm, 1 cm contours. Values from -1.2 (green) to 1.2 (red) cm, 1 cm contours. =Topographical Effect A2 B2 =Non-topographical Effect Corrections to Helmert Orthometric Height: Test Area Values from 0 (red) to 7.9 (blue) cm, 1 cm contours. Values from -1.7 (green) to 1.6 (red) cm, 1 cm contours. A3 B3 Heights from 0 (green) to 2862 (white) m, 500m contours. Results – Corrections could potentially reach ~8 cm in mountainous areas, and are largest for regional phenomena. – Corrections are small for local phenomena, such as cones; and are limited in extent. – More realistic corrections reach up to ~3 cm, but are only > 1 cm (in the test area) at elevations above 1500 m. – There do exist limited areas where these corrections are significant, in terms of rigorous orthometric heights. Effects on e.g. geoid heights have yet to be evaluated. Acknowledgements We would like to acknowledge NSERC and for their funding of this research. Values from 0 (red) to 6.9 (blue) cm, 1 cm contours. Values from -2.3 (green) to 2.6 (red) cm, 1 cm contours.