# lecture3 - VisualSimulation CAP6938 Dr.HassanForoosh...

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Visual Simulation CAP 6938 Dr. Hassan Foroosh  Dept. of Computer Science UCF © Copyright Hassan Foroosh 2002

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Morphed View Morphed View Virtual Camera Virtual Camera View Morphing  SIGGRAPH 96) View interpolation (ala McMillan) but no depth no camera information Photograph Photograph Photograph Photograph
But First:  Multi-View Projective  Geometry Last time (single view geometry) Vanishing Points Points at Infinity Vanishing Lines The Cross-Ratio Today (multi-view geometry) Point-line duality Epipolar geometry The Fundamental Matrix All quantities on these slides are in  homogeneous  coordinates  except when specified otherwise

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Multi-View Projective  Geometry How to relate point positions in different views? Central question in image-based rendering Projective geometry gives us some powerful tools constraints between two or more images equations to transfer points from one image to another scene point focal point image plane
Epipolar Geometry What does one view tell us about another? Point positions in 2 nd  view must lie along a known line Epipolar Constraint Extremely useful for stereo matching Reduces problem to 1D search along  conjugate   epipolar lines Also useful for view interpolation. .. epipolar line epipolar line epipolar plane epipoles

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Transfer from Epipolar  Lines What does one view tell us about another? Point positions in 2 nd  view must lie along a known line Two views determines point position in a third image But doesn’t work if point is in the  trifocal plane  spanned by  all three cameras bad case:  three cameras are colinear input image input image output image
Epipolar Algebra

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lecture3 - VisualSimulation CAP6938 Dr.HassanForoosh...

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