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Sea Floor Bathymetry Trackline Surface Fitting Without Visible Artifacts Using ODETLAP

Tsz -Yam Lau, You Li, Zhongyi Xie , W. Randolph Franklin Rensselaer Polytechnic Institute Troy, NY, USA. Sea Floor Bathymetry Trackline Surface Fitting Without Visible Artifacts Using ODETLAP. ACM SIGSPATIAL GIS 2009, Seattle. C urrent methods inadequate. Ship Tracklines.

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Sea Floor Bathymetry Trackline Surface Fitting Without Visible Artifacts Using ODETLAP

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  1. Tsz-Yam Lau, You Li, ZhongyiXie, W. Randolph Franklin Rensselaer Polytechnic Institute Troy, NY, USA Sea Floor Bathymetry Trackline Surface Fitting Without Visible Artifacts Using ODETLAP ACM SIGSPATIAL GIS 2009, Seattle

  2. Current methods inadequate Ship Tracklines Inverse Distance Weighting Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

  3. Current methods inadequate Ship Tracklines Kriging Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

  4. Current methods inadequate Ship Tracklines Voronoi Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

  5. Current methods inadequate Ship Tracklines Linear SPLINE Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

  6. Current methods inadequate Ship Tracklines QUADRATIC SPLINE Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

  7. Solution: ODETLAP • Sparse overdetermined linear system. • R trades accuracy vs smoothness. • Limited precision data: • Too many resulting surface details not valid, but people like details. R=1 Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

  8. Solution: ODETLAP • Sparse overdetermined linear system. • R trades accuracy vs smoothness. • Limited precision data: • Too many resulting surface details not valid, but people like details. R=5 Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

  9. Solution: ODETLAP • Sparse overdetermined linear system. • R trades accuracy vs smoothness. • Limited precision data: • Too many resulting surface details not valid, but people like details. R=10 Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

  10. Solution: ODETLAP • Sparse overdetermined linear system. • R trades accuracy vs smoothness. • Limited precision data: • Too many resulting surface details not valid, but people like details. R=20 Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

  11. Solution: ODETLAP • Sparse overdetermined linear system. • R trades accuracy vs smoothness. • Limited precision data: • Too many resulting surface details not valid, but people like details. R=30 Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

  12. ODETLAP with variable R • Problem of the closest known points being widely varying distance away • Solution: weight equations for different points differently • Surface shows details with fewer artifacts. Lau, Li, Xie, Franklin - Bathymetry Trackline Fitting - ACM SIGSPATIAL GIS 2009

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