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

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.

[1]  Ahmad H. Alashaikh,et al.  Modified perspective cylindrical map projection , 2014, Arabian Journal of Geosciences.

[3]  J. Small.  Skenographia in Brief , 2013 .

[4]  Steve Seitz.  Perspective Projection , 2014, Computer Vision, A Reference Guide.

[5]  A. Yonas,et al.  The processing of linear perspective and binocular information for action and perception , 2007, Neuropsychologia.

[6]  Gabriel Taubin,et al.  Efficient height measurements in single images based on the detection of vanishing points , 2015, Comput. Vis. Image Underst..

[8]  L. Cocchiarella.  Perspective Between Fiction and Function: Pattern Mutations Through Science and Art , 2014 .

[10]  José Ignacio Rojas-Sola,et al.  Application of gradient-based edge detectors to determine vanishing points in monoscopic images: Comparative study , 2015, Image Vis. Comput..

[11]  Joanna Barbara Rapp.  A geometrical analysis of multiple viewpoint perspective in the work of Giovanni Battista Piranesi: an application of geometric restitution of perspective , 2008 .

[12]  Jorge Hernán Salazar Trujillo.  Calculation of the shadow-penumbra relation and its application on efficient architectural design , 2014 .

[13]  Bernd Evers,et al.  Architectural Theory: From the Renaissance to the Present , 2019 .

[14]  D. Knill,et al.  Geometry of shadows. , 1997, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  Mark Segal,et al.  Fast shadows and lighting effects using texture mapping , 1992, SIGGRAPH.

[16]  Jolanta Dzwierzynska.  Reconstructing Architectural Environment from the Perspective Image , 2016 .

[17]  Mark A. Hewitt,et al.  Representational Forms and Modes of Conception; an Approach to the History of Architectural Drawing , 1985 .

[18]  David J. Fleet,et al.  Stable estimation of image orientation , 1994, Proceedings of 1st International Conference on Image Processing.

[19]  José Ignacio Rojas-Sola,et al.  Use of discrete gradient operators for the automatic determination of vanishing points: Comparative analysis , 2012, Expert Syst. Appl..

[20]  G. C. Argan,et al.  The Architecture of Brunelleschi and the Origins of Perspective Theory in the Fifteenth Century , 1946, Journal of the Warburg and Courtauld Institutes.

[21]  Jolanta Dzwierzynska.  Descriptive and Computer Aided Drawing Perspective on an Unfolded Polyhedral Projection Surface , 2017 .

[22]  Sara Seager,et al.  THE DISCOVERY OF ELLIPSOIDAL VARIATIONS IN THE KEPLER LIGHT CURVE OF HAT-P-7 , 2010, 1001.0413.

[23]  J. Dźwierzyńska.  Cylindrical panorama - two approaches , 2009 .

[24]  Simon Unwin.  Analysing architecture through drawing , 2007 .

[25]  Jolanta Dzwierzynska.  Single-image-based Modelling Architecture from a Historical Photograph , 2017 .