Virtual Environments with Four or More Spatial Dimensions

D’Zmura, Michael; Colantoni, Philippe; Seyranian, Gregory D.

doi:10.1162/105474600300040411

Cited by 21 publications

(6 citation statements)

References 3 publications

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“…A good understanding of human way finding strategies [1,2,3] and underlying perceptual and cognitive processes [1] is of particular importance to optimally support human spatial navigation in virtual environments. Virtual environments can be more complex than natural environments with respect to their scale [4,2], structural complexity and dimensionality [5]. Furthermore, virtual environments often differ from natural environments with respect to the sensory modalities involved, depending on the use of visual, auditory and vestibular displays [6,7,8,9,10,11] and interaction methods [8].…”

Section: Introductionmentioning

confidence: 99%

Navigating virtual mazes: The benefits of audiovisual landmarks

Werkhoven

Erp²,

Philippi

2014

Displays

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It has been shown that multisensory presentation can improve perception, attention, and object memory compared with unisensory presentation. Consequently, we expect that multisensory presentation of landmarks can improve spatial memory and navigation. In this study we tested the effect of visual, auditory and combined landmark presentations in virtual mazes on spatial memory and spatial navigation. Nineteen participants explored four different virtual mazes consisting of nodes with landmarks and corridors connecting them. Each maze was explored for 90 seconds. After each exploration, participants performed the following tasks in fixed order: 1) draw a map of the maze, 2) recall adjacent landmarks for three given landmarks, 3) place all landmarks on the map of the maze, and 4) find their way through the maze to locate five given landmarks in fixed order. Our study shows significant effects of multisensory versus unisensory landmarks for the maze drawing task, the adjacency task, and the wayfinding task. Our results suggest that audiovisual landmark presentations improve spatial memory and spatial navigation performance in virtual environments.

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Section: Introductionmentioning

confidence: 99%

Navigating virtual mazes: The benefits of audiovisual landmarks

Werkhoven

Erp²,

Philippi

2014

Displays

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“…Visihlc arc the disappearing spherical cross-sections of the central black hypersphere, and a door that passes out of view as the view orientation changes. 1 2 created (notionally) through an extrusion process. For example, the hypercylinder is built by taking the familiar sphere and extruding it along the axis orthogonal to the 3D space spanned by the sphere.…”

Section: Modeling Methodsmentioning

confidence: 99%

<title>Visualization of events from arbitrary spacetime perspectives</title>

D’Zmura

Colantoni²,

Seyranian

2000

SPIE Proceedings

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Methods for representing spacetime events as hyperobjects in four-dimensional (4D) space have been developed that let one examine events from arbitrary spacetime perspectives. Three-dimensional (3D) objects that move either rigidly or nonrigidly are extruded to create 4D hyperobjects. The boundaries of the 4D objects are represented using polyhedra, in much the same way that the boundaries of 3D objects may be represented using polygons. The user views one or more static, 4D hyperobjects using software which lets the user control in an interactive, realtime fashion the position and orientation of a 3D cross-section of the hyperobjects. The 3D cross-sections are rendered using standard techniques of 3D computer graphics. Extrusion of nonrigid 3D objects is useful for visualizing events that involve objects with time-varying shape. For instance, one can use nonrigid extrusion to visualize a character animation, in which multiple frames of a walking humanoid character are used to create a single, static hyperobject that represents the entire animation. With these methods, one need no longer be limited to watching a movie in which time is a hidden axis. Rather, one can view and alter events immersively from arbitrary vantage points.

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“…There are a few reports on interactions with 4-D objects. In existing interactive environments, a keyboard input or a joystick associated with human actions is often used for geometric operations on 4-D objects (D'Zmura et al 2000;Aguilera 2006), which enable a user to experience the rotation of the 4-D object in 4-D space. However, in these methods, the user's 4-D viewing position is fixed, and he/she is unable to move around the 4-D object in 4-D space.…”

Section: Related Studies and Our Previous Studiesmentioning

confidence: 99%

Four-dimensional geometric element definitions and interferences via five-dimensional homogeneous processing

Sakai

Hashimoto

2011

J Vis

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We have systematized various studies on 4-D visualization and interaction thus far, and we proposed 4-D geometric algorithms via 5-D homogeneous processing. Our framework uses 5 9 5 matrices and 5 9 5 determinants to express various types of transformations, and it simplifies geometric operations without the use of division operations. Using the proposed scheme, we developed an interactive 4-D space display system. The simplicity, generality, and duality of 5-D homogeneous processing are effective not only for 4-D geometric operations but also for interference problems among various 4-D objects. However, the processing regarding geometric characteristics of 4-D objects was not considered in our previous works. In this paper, we describe 4-D geometric elements, in general, and we discuss 4-D computational geometry via 5-D homogeneous processing. Unified geometric operations without the use of division operations constitute the most important part of 5-D homogeneous processing. We systematize the methods for 4-D geometric element definitions and interferences via 5-D homogeneous processing. In the field of 4-D visualization, the proposed algorithms can be potentially used in a user interface for feature detection of a 4-D object and collision detection of several 4-D objects. We comprehensively develop and advance the theoretical framework in the field of 4-D graphics. It is expected that this method of processing will be useful for the performance improvement of 4-D graphics systems.

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Virtual Environments with Four or More Spatial Dimensions

Cited by 21 publications

References 3 publications

Navigating virtual mazes: The benefits of audiovisual landmarks

Navigating virtual mazes: The benefits of audiovisual landmarks

<title>Visualization of events from arbitrary spacetime perspectives</title>

Four-dimensional geometric element definitions and interferences via five-dimensional homogeneous processing

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