Perceptually Shaded Slope Maps for the Visualization of Digital Surface Models

Although shaded relief, or hillshaded, images are a widely used method to represent high-resolution (~1-m) digital surfaces derived from airborne laser (or LiDAR) scans, such displays may become difficult to interpret when they include surface features like buildings, roadways, and natural vegetation. One possible alternative as a visualization of such surface models is a representation based on slope shading – the steeper, the darker – but attenuated to the perceptual bias of overestimation of slope. The empirical work presented here demonstrates that Perceptually Shaded Slope Maps (PSSMs) perform as well or better than either hillshaded or hypsometric images on map-reading tasks, including profile estimation and mental rotation. Bien que le relief par ombres portées (ou images par estompage) soit largement utilisé pour représenter les surfaces numériques à haute résolution (~1 m) dérivées du balayage laser aéroporté ou de la détection et télémétrie par ondes lumineuses (LiDAR), de telles représentations peuvent être difficiles à interpréter lorsqu’elles présentent certains éléments de surface comme des immeubles, des routes et de la végétation. Il existe une solution de rechange pour visualiser ce type de modèles de surface : il s’agit d’une représentation fondée sur l’ombrage des surfaces inclinées – plus elles sont abruptes, plus elles sont foncées – mais limitée au biais perceptuel qui engendre une surestimation des pentes. Les travaux empiriques présentés dans cet article démontrent que les cartes dont les pentes sont ombragées sur le plan perceptuel donnent des résultats aussi bons, voire meilleurs, que les images hypsométriques ou par estompage pour des tâches de lecture de cartes qui comprennent l’estimation du profil et la rotation mentale.

[1]  Bernhard Jenny,et al.  Automated Reduction of Visual Complexity in Small-Scale Relief Shading , 2010, Cartogr. Int. J. Geogr. Inf. Geovisualization.

[2]  Rich Gossweiler,et al.  Perceiving geographical slant , 1995, Psychonomic bulletin & review.

[3]  J. Flannery THE RELATIVE EFFECTIVENESS OF SOME COMMON GRADUATED POINT SYMBOLS IN THE PRESENTATION OF QUANTITATIVE DATA , 1971 .

[4]  Toru Ishikawa,et al.  Showing Where To Go by Maps or Pictures: An Empirical Case Study at Subway Exits , 2009, COSIT.

[6]  Sara Irina Fabrikant,et al.  How Do Decision Time and Realism Affect Map-Based Decision Making? , 2011, COSIT.

[7]  E. Imhof Cartographic Relief Presentation , 1982 .

[8]  Lorenz Hurni Cartographic Relief Presentation Revisited - Forty Years after Eduard Imhof , 2009 .

[9]  H. G. Lyons,et al.  Relief in Cartography , 1914 .

[10]  Richard J. Phillips,et al.  Some Objective Tests of the Legibility of Relief Maps , 1975 .

[11]  Frank H. Durgin,et al.  Slant perception in near space is categorically biased: Evidence for a vertical tendency , 2010, Attention, perception & psychophysics.

[12]  George F. Jenks,et al.  VERTICAL EXAGGERATION IN THREE-DIMENSIONAL MAPPING. , 1967 .

[13]  Kurt Brassel A Model for Automatic Hill-Shading , 1974 .

[14]  V. S. Ramachandran,et al.  Perception of shape from shading , 1988, Nature.

[15]  Alan A. DeLucia The Effect of Shaded Relief on Map Information Accessibility , 1972 .

[16]  M. Shirasawa,et al.  Visualizing topography by openness: A new application of image processing to digital elevation models , 2002 .

[17]  C. F. Close Relief in Cartography , 1914 .

[18]  Bernhard Jenny An Interactive Approach to Analytical Relief Shading , 2001, Cartogr. Int. J. Geogr. Inf. Geovisualization.

[19]  Christopher Worth Determining a Vertical Scale for Graphical Representations of Three-Dimensional Surfaces , 1978 .

[20]  Jon A. Kimerling The Comparison of Equal-Value Gray Scales , 1985 .

[21]  Mahes Visvalingam,et al.  Algorithms for sketching surfaces , 1998, Comput. Graph..

[22]  Julie Dillemuth Map Design Evaluation for Mobile Display , 2005 .

[23]  B. F. Lock,et al.  The Perceptual Problem in Contour Interpretation , 1979 .

[24]  The Case for Thematic Maps as Mediated Seeing , 1998 .

[25]  Kitiro Tanaka The Relief Contour Method of Representing Topography on Maps , 1950 .

[26]  Herbert L. Pick,et al.  Topographic Map Reading , 1991 .

[27]  M. Turvey,et al.  Perceiving 'Walk-on-able' Slopes , 1992 .

[28]  Berthold K. P. Horn,et al.  Hill shading and the reflectance map , 1981, Proceedings of the IEEE.

[29]  Jeffrey C. Patton,et al.  The Perception of Hypsometric Colours , 1977 .

[30]  Henry W. Castner,et al.  Re-assessing the Role Played by Shaded Relief in Topographic Scale Maps , 1979 .

[31]  R. Shepard,et al.  Mental Rotation of Three-Dimensional Objects , 1971, Science.

[32]  Daniel R. Montello,et al.  Recall Memory for Topographic Maps and Natural Terrain: Effects of Experience and Task Performance , 1994 .

[33]  C. H. Summerson,et al.  Slope-Zone Maps , 1960 .

[34]  A. Jon Kimerling,et al.  Non-Photorealistic Rendering and Terrain Representation , 2006 .

[35]  Bernhard Jenny,et al.  Swiss-Style Colour Relief Shading Modulated by Elevationand by Exposure to Illumination , 2006 .

[36]  A. James Stewart,et al.  A Uniform Sky Illumination Model to Enhance Shading of Terrain and Urban Areas , 2006 .

[37]  Berthold K. P. Horn Obtaining shape from shading information , 1989 .

[38]  Nikos Paragios,et al.  Handbook of Mathematical Models in Computer Vision , 2005 .

[39]  P. Burrough,et al.  Principles of geographical information systems , 1998 .

[40]  Mark Shurtleff,et al.  A Human-Performance Based Evaluation of Topographic Maps and Map Symbols with Novice Map Users , 1986 .

[42]  M. Eckert,et al.  Die Kartenwissenschaft : Forschungen und Grundlagen zu einer Kartographie als Wissenschaft , 1921 .

[43]  P. Kennelly Terrain maps displaying hill-shading with curvature , 2008 .

[44]  G K Poock,et al.  Some Effects of Layer Tinting of Maps , 1969, Perceptual and motor skills.

[45]  Patrick Henry Winston,et al.  The psychology of computer vision , 1976, Pattern Recognit..

[46]  J. P. Farrell,et al.  A Technique for Assessing Map Relief Legibility , 1978 .

[47]  Mary Hegarty,et al.  Naïve Cartography: How Intuitions about Display Configuration Can Hurt Performance , 2009, Cartogr. Int. J. Geogr. Inf. Geovisualization.

[48]  P. Yoëli,et al.  The Mechanisation of Analytical Hill Shading , 1967 .

[49]  Kim J. Vicente,et al.  Local applications of the ecological approach to human-machine systems , 1995 .

[50]  Mahes Visvalingam,et al.  Towards sketch-based exploration of terrain , 2002, Comput. Graph..

[51]  Glen R. Williamson The Equal Contrast Gray Scale , 1982 .

[52]  Mark Monmonier THE HOPELESS PURSUIT OF PURIFICATION IN CARTOGRAPHIC COMMUNICATION: A COMPARISON OF GRAPHIC-ARTS AND PERCEPTUAL DISTORTIONS OF GRAYTONE SYMBOLS , 1980 .

[53]  Richard J. Phillips,et al.  An experimental investigation of layer tints for relief maps in school atlases , 1982 .

[54]  Olivier D. Faugeras,et al.  Shape From Shading , 2006, Handbook of Mathematical Models in Computer Vision.

[55]  Benjamin Štular,et al.  Visualization of lidar-derived relief models for detection of archaeological features , 2012 .

[56]  Tanaka Kitiro The Orthographical Relief Method of Representing Hill Features on a Topographical Map , 1932 .

[57]  Thomas J. Pingel,et al.  Modeling Slope as a Contributor to Route Selection in Mountainous Areas , 2010 .

[58]  D R Proffitt,et al.  Seeing Big Things: Overestimation of Heights is Greater for Real Objects Than for Objects in Pictures , 1999, Perception.

[59]  Anthony E. Richardson,et al.  Development of a self-report measure of environmental spatial ability. , 2002 .