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Building Panoramic Image Mosaics Building Panoramic Image Mosaics

Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

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Page 1: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Building Panoramic Image MosaicsBuilding Panoramic Image Mosaics

Page 2: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Image Image MosaicingMosaicing

Page 3: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Step 1: Step 1: CaptureCapture

Page 4: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Step Step 22: Warp & Align: Warp & Align

Page 5: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Step Step 22: Warp & Align (Continued): Warp & Align (Continued)

Page 6: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Step Step 33: Blend: Blend

Page 7: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Representing Pixels by Euclidean 2D CoordinatesRepresenting Pixels by Euclidean 2D Coordinates

Page 8: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Euclidean Coordinates Euclidean Coordinates Homogeneous CoordinatesHomogeneous Coordinates

Page 9: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

2D Homogeneous Coordinates: Definition2D Homogeneous Coordinates: Definition

Page 10: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

2D Homogeneous Coordinates: Equality2D Homogeneous Coordinates: Equality

Page 11: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Homogeneous Coordinates Homogeneous Coordinates Euclidean Coordinates Euclidean Coordinates

Page 12: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Homogeneous Coordinates Homogeneous Coordinates Euclidean Coordinates Euclidean Coordinates

Page 13: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Points at Points at in Homogeneous Coordinatesin Homogeneous Coordinates

Page 14: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Line Equations in Homogeneous CoordinatesLine Equations in Homogeneous Coordinates

Page 15: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

The Line Passing Through 2 PointsThe Line Passing Through 2 Points

Page 16: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

The Point of Intersection of Two LinesThe Point of Intersection of Two Lines

Page 17: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Computing the Intersection of Parallel LinesComputing the Intersection of Parallel Lines

Page 18: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Computing the Intersection of Parallel LinesComputing the Intersection of Parallel Lines

Page 19: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Lines from Points & Points from LinesLines from Points & Points from Lines

Page 20: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Linear Image WarpsLinear Image Warps

Page 21: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Linear Image Warps & Linear Image Warps & HomographiesHomographies

Page 22: Building Panoramic Image Mosaics - cs.utexas.edu · Building Panoramic Image Mosaics. Image Mosaicing. Step 1: Capture. Step 2: Warp & Align. Step 2: Warp & Align (Continued) Step

Warping Images Using a Warping Images Using a HomographyHomography