{"title":"Improved non-uniform subdivision scheme with modified Eigen-polyhedron.","authors":"Jingjing Zhang, Yufeng Tian, Xin Li","doi":"10.1186/s42492-022-00115-2","DOIUrl":"https://doi.org/10.1186/s42492-022-00115-2","url":null,"abstract":"<p><p>In this study, a systematic refinement method was developed for non-uniform Catmull-Clark subdivision surfaces to improve the quality of the surface at extraordinary points (EPs). The developed method modifies the eigenpolyhedron by designing the angles between two adjacent edges that contain an EP. Refinement rules are then formulated with the help of the modified eigenpolyhedron. Numerical experiments show that the method significantly improves the performance of the subdivision surface for non-uniform parameterization.</p>","PeriodicalId":52384,"journal":{"name":"Visual Computing for Industry, Biomedicine, and Art","volume":" ","pages":"18"},"PeriodicalIF":0.0,"publicationDate":"2022-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9276890/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40596024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Curve intersection based on cubic hybrid clipping.","authors":"Yaqiong Wu, Xin Li","doi":"10.1186/s42492-022-00114-3","DOIUrl":"https://doi.org/10.1186/s42492-022-00114-3","url":null,"abstract":"<p><p>This study presents a novel approach to computing all intersections between two Bézier curves using cubic hybrid clipping. Each intersection is represented by two strip intervals that contain an intersection. In each step, one curve is bounded by two fat lines, and the other is bounded by two cubic Bézier curves, clipping away the domain that does not contain the intersections. By selecting the moving control points of the cubic hybrid curves, better cubic polynomial bounds are obtained to make the proposed method more efficient. It was proved that the two strip intervals have second- and fourth-order convergence rates for transversal intersections. Experimental results show that the new algorithm is the most efficient among all existing curve/curve intersection approaches.</p>","PeriodicalId":52384,"journal":{"name":"Visual Computing for Industry, Biomedicine, and Art","volume":" ","pages":"17"},"PeriodicalIF":0.0,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9218043/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40178564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Features of hardware implementation of quasi-continuous observation devices with discrete receivers.","authors":"Oleksandr Maryliv, Mykhailo Slonov","doi":"10.1186/s42492-022-00102-7","DOIUrl":"https://doi.org/10.1186/s42492-022-00102-7","url":null,"abstract":"<p><p>This article proposes an approach to the formalization of tasks and conditions for the hardware implementation of quasi-continuous observation devices with discrete receivers in remote sensing systems. Observation devices with a matrix are used in medicine, ecology, aerospace photography, and geodesy, among other fields. In the discrete receivers, the sampling of an image in the matrix receiver into pixels leads to a decrease in the spatial information of the object. In a greater extent, these disadvantages can be avoided by using photosensitive matrix with a regularly changing (controlled) density of elementary receivers-matrix (RCDOER-matrix). Currently, there is no substantiation of the tasks and conditions for the hardware implementation of RCDOER-matrix. The algorithmic formation of a quasi-continuous image of observation devices with the RCDOER-matrix is proposed. The algorithm used a formal pixel-by-pixel description of the signals in the image. This algorithm formalizes the requirements for creating a photosensitive RCDOER-matrix of a certain size, as well as for changing the mechanism for forming and saving a frame with observation results. The application of the developed method will allow multiplying the pixel size of the image relative to the pixel size of the RCDOER-matrix. Developed algorithms for RCDOER-matrix are supplemented by formalizing the tasks that arise when creating prototypes. In addition, the conditions for hardware implementation are proposed, which ensure the completeness of registration of the observation picture, and allow avoiding excessive pixel measurements. Thus, the results of the research carried out approximate the practical application of RCDOER-matrix.</p>","PeriodicalId":52384,"journal":{"name":"Visual Computing for Industry, Biomedicine, and Art","volume":" ","pages":"6"},"PeriodicalIF":0.0,"publicationDate":"2022-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8825919/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39775514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}