Computer-Aided Panoramic Images Enriched by Shadow Construction on a Prism and Pyramid Polyhedral Surface

Jolanta Dzwierzynska

doi:10.3390/sym9100214

Abstract

The aim of this study is to develop an efficient and practical method of a direct mapping of a panoramic projection on an unfolded prism and pyramid polyhedral projection surface with the aid of a computer. Due to the fact that straight lines very often appear in any architectural form we formulate algorithms which utilize data about lines and draw panoramas as plots of functions in Mathcad software. The ability to draw panoramic images of lines enables drawing a wireframe image of an architectural object. The application of the multicenter projection, as well as the idea of shadow construction in the panoramic representation, aims at achieving a panoramic image close to human perception. The algorithms are universal as the application of changeable base elements of panoramic projection—horizon height, station point location, number of polyhedral walls—enables drawing panoramic images from various viewing positions. However, for more efficient and easier drawing, the algorithms should be implemented in some graphical package. The representation presented in the paper and the method of its direct mapping on a flat unfolded projection surface can find application in the presentation of architectural spaces in advertising and art when drawings are displayed on polyhedral surfaces and can be observed from multiple viewing positions.

Highlights

Transforming the reality of the visual world into a flat picture plane has been a challenging task since the early years of architectural design
Due to the fact that very often the panoramic representation of the architectural form is enriched by shadow construction, we address the problem of natural shadow construction in perspective onto a polyhedral projection surface; in particular, we develop the idea of shadow contour determination in the panoramic image on a regular prism and pyramid polyhedral surface
We proposed the method of computer aided construction of panoramic image onto

Summary

Introduction

Transforming the reality of the visual world into a flat picture plane has been a challenging task since the early years of architectural design. Perspective as a visual representation of space from a specific view point has become the most popular method throughout a wide variety of fields. The techniques of pictorial perspective were discussed by painters as part of a growing interest in skenographia as long ago as in the fifth century BC [1]. Perspective regarded as a practical method of drawing a scene captured by an artist was rediscovered again and investigated during the Renaissance [2,3,4]. It developed itself as a kind of science of vision encompassing the nature of functioning of a human eye, as well as the nature and behavior of light. Perspective drawing as a result of the perspective representation is widely discussed as a medium for design and communication in architecture both during preliminary architectural work and at an advanced stage [8,9,10]

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