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Research on3D Mesh Model and Its Cylindrical Image

Author: LiuPing
Tutor: HuangJianMin
School: Guangxi Normal University
Course: Applied Computer Technology
Keywords: Virtual Mirror Image Law of Reflection LOD simplifying technology FermatPrinciple
CLC: TP391.41
Type: Master's thesis
Year: 2012
Downloads: 38
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Abstract


Virtual Mirror Image is one of the key technologies of VR(Virtual Reality), its primarily purpose is to render the3D scene of the virtual environment. We draw not only the real effect of3D model and its mirror image, but also the dynamic effect with the movement of the scene in Real-time. Virtual Mirror Image is mainly applied to3D scene rendering, and it has high application value in virtual rearview mirror system, electronic distorting etc. However, after consulting a large number of literatures, we found that there is no relevant algorithm which has been proposed to realize this virtual environment so far, so from the basic concept to the determination of the research methodology, the study has strong innovation in putting forward and solving the key technology.Virtual Mirror Image does research on kinds of quadric mirrors’imaging, including spherical mirror, cylindrical mirror and conical mirror and so on. It mainly start from following principles of Optics such as Law of Reflection and Fermat’s principle etc, and then searching for the right reflection point calculation algorithm. The basic process of Virtual Mirror Image contains three steps:the visibility processing of model points, the calculation of mirror reflection point, and the orientation of mirror model point. This thesis conducts the research on the following issues: Firstly, this paper expounds on the background and significance of Virtual Mirror Image, and introduces the related mathematical knowledge and tools about Virtual Mirror Image; Secondly, we emphasize particularly on discussion and research on Virtual Cylindrical Mirror Image, and propose two methods to calculate the reflection point of Cylindrical Mirror, one apply the binary search algorithm to reflection point calculation based on the Law of Reflection, the other by the use of analyzing formula of reflection point based on Fermat’s principle directly; Lastly, to improve the real-time performance, we also discuss the accelerating technology of the Virtual Mirror Image.(1)3D mesh model and Its Cylindrical mirror based on Binary search algorithmAfter strict mathematic analyzing, we put forward a method that the binary search algorithm can be used for calculating the cylindrical mirror reflection point on the basis of the Law of Reflection. At first, we established the mathematical model and definition of Cylindrical Mirror Image; secondly we describe three basic process of Cylindrical Mirror Image in detail, which contains the visibility judging of the model point, the binary searching of reflection point, and the orientation of the mirror point. After experiments, it makes clear that the algorithm could express realistic performance of the virtual image, also meet favorable demand on real-time. These have provided the reliable theory foundation and practice experience for further study on Cylindrical Mirror Image.(2)The acceleration research of Curved Mirror Image based on the LOD technologyYet we know, with affecting good visual effect, LOD technology reduces the geometry complexity of the scene through successive simplifying surface detail of the model, so as to has improved the efficiency of the drawing algorithm. We apply LOD technology to the process of Curved Mirror Image(containing cylindrical mirror, spherical mirror and so on), and call the corresponding simplified model to participate in the Cylindrical Mirror Image according to the conventional relations between the view point and cylindrical mirror. Experimental results show that this method can make great acceleration of the displaying speed which keeps good sense of reality also.(3)3D mesh model and Its Cylindrical mirror based on Fermat PrincipleBecause binary search algorithm needs iteration times for getting the reflection point, the way obtained by analytical approaches and calculation, could greatly shortened the time of reflection point calculation, thus the real-time effect of Cylindrical Mirror Image has been greatly improved. According to the conclusion in Fermat Principle that the optical path takes minimum value, we figure out the formula of reflection point coordinates after carefully analyzing to the Cylindrical Mirror Image. At the same time a new kind of positioning method to the mirror point has been put forward, from the result picture it can express good sense of reality also.

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CLC: > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > Computer applications > Information processing (information processing) > Pattern Recognition and devices > Image recognition device
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