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Image Warping
, 2001
"... This note introduces the concept of image warping and treats the special case of Euclidean warping along with a discussion of a Matlab implementation. Secondly an application of image warping is given; namely image mosaicing where images are stitched together – e.g. to form a panoramic view. Effort ..."
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Cited by 2 (0 self)
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This note introduces the concept of image warping and treats the special case of Euclidean warping along with a discussion of a Matlab implementation. Secondly an application of image warping is given; namely image mosaicing where images are stitched together – e.g. to form a panoramic view. Effort
Image Warping:
"... This week we will look into local features and image alignment for the programming exercise ..."
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This week we will look into local features and image alignment for the programming exercise
Image Warping
"... Objective: Change appearance of image by performing geometric transformation, i.e., change the position of a point in the image to a new position. Example: ..."
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Objective: Change appearance of image by performing geometric transformation, i.e., change the position of a point in the image to a new position. Example:
Fundamentals of Texture Mapping and Image Warping
, 1989
"... The applications of texture mapping in computer graphics and image distortion (warping) in image processing share a core of fundamental techniques. We explore two of these techniques, the twodimensional geometric mappings that arise in the parameterization and projection of textures onto surfaces, a ..."
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Cited by 204 (0 self)
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The applications of texture mapping in computer graphics and image distortion (warping) in image processing share a core of fundamental techniques. We explore two of these techniques, the twodimensional geometric mappings that arise in the parameterization and projection of textures onto surfaces
Forward Image Warping
, 1999
"... We present a new forward image warping algorithm, which speeds up perspective warping  as in texture mapping. It processes the source image in a special scanline order instead of the normal raster scanline order. This special scanline has the property of preserving parallelism when projecting to t ..."
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Cited by 4 (1 self)
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We present a new forward image warping algorithm, which speeds up perspective warping  as in texture mapping. It processes the source image in a special scanline order instead of the normal raster scanline order. This special scanline has the property of preserving parallelism when projecting
An Enhanced Image Warping Technique
"... Recently image warping is becoming a forefront subject and is attracting the attention of researchers. The motivation underpinning in exploring image warping is that it is producing wonderful effects on photographs and in film industries. Various warping algorithms are been devised to cater for the ..."
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Recently image warping is becoming a forefront subject and is attracting the attention of researchers. The motivation underpinning in exploring image warping is that it is producing wonderful effects on photographs and in film industries. Various warping algorithms are been devised to cater
Forward Image Warping
, 1999
"... We present a new forward image warping algorithm, which speeds up perspective warping  as in texture mapping. It processes the source image in a special scanline order instead of the normal raster scanline order. This special scanline has the property of preserving parallelism when projecting to t ..."
Abstract
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We present a new forward image warping algorithm, which speeds up perspective warping  as in texture mapping. It processes the source image in a special scanline order instead of the normal raster scanline order. This special scanline has the property of preserving parallelism when projecting
Projective Mappings for Image Warping
 in Fundamentals of Texture Mapping and Image Warping (Paul Heckbert, Master’s Thesis), U.C.Berkeley
, 1989
"... The homogeneous representation for points provides a consistent notation for affine and projective mappings. Homogeneous notation was used in projective geometry [Maxwell46], [Coxeter78] long before its introduction to computer graphics [Roberts66]. The homogeneous notation is often misunderstood so ..."
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Cited by 5 (0 self)
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The homogeneous representation for points provides a consistent notation for affine and projective mappings. Homogeneous notation was used in projective geometry [Maxwell46], [Coxeter78] long before its introduction to computer graphics [Roberts66]. The homogeneous notation is often misunderstood so we will take a moment to clarify its use and properties. In familiar Euclidean geometry we represent points of the real plane 2 by vectors of the form ¡£¢¥¤§¦© ¨. Projective geometry deals with the projective plane, a superset of the real plane, whose homogeneous coordinates are ¡£¢���¤§¦��£¤§�� ¨. In projective geometry the 2D real point ¡£¢¥¤§¦©¨ nonzero number. Vectors of the form � for � is represented by the homogeneous vector, where is an arbitrary 0 form the equivalence class of homogeneous representations for the real point ¡£¢¥¤§¦© ¨. To recover the actual coordinates from a homogeneous vector, we simply divide by the homogeneous component; e.g., the homogeneous vector ����¡£¢���¤§¦���¤§��¨���¡£¢��£¤§¦���¤§�� ¨ represents the actual point ¡£¢¥¤§¦©¨���¡£¢�������¤§¦������� ¨. This division, a projection onto the �� � 1 plane, cancels the effect of scalar multiplication by �. When representing real points with homogeneous notation we could use any nonzero � , but it is usually most convenient to choose �� � 1 so that the real coordinates can be recovered without division. Projective space also includes the points at infinity: vectors of the form ¡£¢��£¤§¦��£ ¤ 0 ¨ , excluding ¡ 0 ¤ 0 ¤ 0 ¨. The points at infinity lie on the line at infinity. We will see later how augmentation of the real plane by these points simplifies projective geometry. In homogeneous notation, 2D points are represented by 3vectors and 3D points are represented by 4vectors. For affine and projective mappings, we denote points in source space by ����� ¡£����¤§���£¤��� ¨ and points in the destination space by ������¡£¢���¤§¦���¤§�� ¨. 2
Image Warps for Artistic . . .
, 2010
"... Painters and illustrators commonly sketch vanishing points and lines to guide the construction of perspective images. We present a tool that gives users the ability to manipulate perspective in photographs using image space controls similar to those used by artists. Our approach computes a 2D warp ..."
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warp guided by constraints based on projective geometry. A user annotates an image by marking a number of image space constraints including planar regions of the scene, straight lines, and associated vanishing points. The user can then use the lines, vanishing points, and other point constraints
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