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Related papers: A concise parametrisation of affine transformation

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Transformations in the field of computer graphics and geometry are one of the most important concepts for efficient manipulation and control of objects in 2-dimensional and 3-dimensional space. Transformations take many forms each with…

Computational Geometry · Computer Science 2023-03-24 Benjamin Kenwright

Image processing is one of the most immerging and widely growing techniques making it a lively research field. Image processing is converting an image to a digital format and then doing different operations on it, such as improving the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Bhishman Desai , Manish Paliwal , Kapil Kumar Nagwanshi

Planning trajectories for nonholonomic systems is difficult and computationally expensive. When facing unexpected events, it may therefore be preferable to deform in some way the initially planned trajectory rather than to re-plan entirely…

Robotics · Computer Science 2011-05-31 Quang-Cuong Pham

This work aims to provide a deep-learning solution for the motion interpolation task. Previous studies solve it with geometric weight functions. Some other works propose neural networks for different problem settings with consecutive pose…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Shuo Huang , Jia Jia , Zongxin Yang , Wei Wang , Haozhe Wu , Yi Yang , Junliang Xing

We propose Deep Feature Interpolation (DFI), a new data-driven baseline for automatic high-resolution image transformation. As the name suggests, it relies only on simple linear interpolation of deep convolutional features from pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Paul Upchurch , Jacob Gardner , Geoff Pleiss , Robert Pless , Noah Snavely , Kavita Bala , Kilian Weinberger

Affine correspondences have received significant attention due to their benefits in tasks like image matching and pose estimation. Existing methods for extracting affine correspondences still have many limitations in terms of performance;…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Pengju Sun , Banglei Guan , Zhenbao Yu , Yang Shang , Qifeng Yu , Daniel Barath

Surface parameterization is a fundamental concept in fields such as differential geometry and computer graphics. It involves mapping a surface in three-dimensional space onto a two-dimensional parameter space. This process allows for the…

Numerical Analysis · Mathematics 2024-12-16 Shu-Yung Liu , Mei-Heng Yueh

There exist efficient algorithms to project a point onto the intersection of a convex cone and an affine subspace. Those conic projections are in turn the work-horse of a range of algorithms in conic optimization, having a variety of…

Optimization and Control · Mathematics 2011-03-09 Didier Henrion , Jérôme Malick

Current methods for image-to-image translation produce compelling results, however, the applied transformation is difficult to control, since existing mechanisms are often limited and non-intuitive. We propose ParGAN, a generalization of…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Diego Martin Arroyo , Alessio Tonioni , Federico Tombari

Matching deformable objects using their shapes is an important problem in computer vision since shape is perhaps the most distinguishable characteristic of an object. The problem is difficult due to many factors such as intra-class…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 Smit Marvaniya , Raj Gupta , Anurag Mittal

Fashion image understanding is an active research field with a large number of practical applications for the industry. Despite its practical impacts on intelligent fashion analysis systems, clothing image inpainting has not been…

Computer Vision and Pattern Recognition · Computer Science 2020-08-28 Furkan Kınlı , Barış Özcan , Furkan Kıraç

In affine formation control problems, the construction of the framework with universal rigidity and affine localizability is a critical prerequisite, but it has not yet been well addressed, especially when additional agents join the…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Huiming Li , Hao Chen , Xiangke Wang , Zhongkui Li , Lincheng Shen

The use of image transformations is essential for efficient modeling and learning of visual data. But the class of relevant transformations is large: affine transformations, projective transformations, elastic deformations, ... the list…

Machine Learning · Computer Science 2021-06-24 Sergey Pankov

In recent years, deep learning models have demonstrated remarkable success in various domains, such as computer vision, natural language processing, and speech recognition. However, the generalization capabilities of these models can be…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Neelesh Mungoli

Feature transformation aims to extract a good representation (feature) space by mathematically transforming existing features. It is crucial to address the curse of dimensionality, enhance model generalization, overcome data sparsity, and…

Machine Learning · Computer Science 2022-12-26 Meng Xiao , Dongjie Wang , Min Wu , Kunpeng Liu , Hui Xiong , Yuanchun Zhou , Yanjie Fu

Shape analysis methods have in the past few years become very popular, both for theoretical exploration as well as from an application point of view. Originally developed for planar curves, these methods have been expanded to higher…

Differential Geometry · Mathematics 2016-09-27 Elena Celledoni , Markus Eslitzbichler , Alexander Schmeding

Probabilistic programming has emerged as a powerful paradigm in statistics, applied science, and machine learning: by decoupling modelling from inference, it promises to allow modellers to directly reason about the processes generating…

Machine Learning · Statistics 2019-06-10 Maria I. Gorinova , Dave Moore , Matthew D. Hoffman

Texture mapping is a common technology in the area of computer graphics, it maps the 3D surface space onto the 2D texture space. However, the loose texture space will reduce the efficiency of data storage and GPU memory addressing in the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Wei Chen , Yuxue Ren , Na Lei , Zhongxuan Luo , Xianfeng Gu

Fine-tuning pre-trained foundation models has gained significant popularity in various research fields. Existing methods for fine-tuning can be roughly divided into two categories, namely Parameter-Efficient Fine-Tuning and High-Performance…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Peng Ye , Yongqi Huang , Chongjun Tu , Minglei Li , Tao Chen , Tong He , Wanli Ouyang

In this paper, we present a novel affine-invariant feature based on SIFT, leveraging the regular appearance of man-made objects. The feature achieves full affine invariance without needing to simulate over affine parameter space. Low-rank…

Computer Vision and Pattern Recognition · Computer Science 2014-08-08 Chao Yang , Shengnan Caih , Jingdong Wang , Long Quan