General Coordinate Invariant Image Smoothing Using a Metric Tensor
Pages 67 - 72
Abstract
Images are often deformed for various reasons such as viewpoint movement, lens distortion, etc. It is desirable that image processing is invariant for such deformation. This paper proposes a new image smoothing which is invariant under general coordinate transformations. General coordinate transformation is a continuous coordinate transformation defined by differentiable function. To realize general coordinate transformation invariance, we introduce the metric tensor which transforms appropriately for the general coordinate transformation. Using the metric tensor, we define a general coordinate invariant evaluation function. General coordinate invariant smoothing is achieved by a process of minimizing the evaluation function. Effectiveness of the proposed method is confirmed by computer experiments.
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Index Terms
- General Coordinate Invariant Image Smoothing Using a Metric Tensor
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Published In
February 2020
172 pages
ISBN:9781450377201
DOI:10.1145/3383812
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In-Cooperation
- Nanyang Technological University
- UNIBO: University of Bologna
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Association for Computing Machinery
New York, NY, United States
Publication History
Published: 25 March 2020
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ICIGP 2020
ICIGP 2020: 2020 3rd International Conference on Image and Graphics Processing
February 8 - 10, 2020
Singapore, Singapore
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