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Digital Projection Projector HIGHlite 740 Series User Manual
Digital Projection Projector HIGHlite 740 Series User Manual
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page 82 Reference Guide CHOOSING A LENS Basic calculation example 1. Calculate the throw ratio using the formula. Your screen is 4.5 m wide and you wish to place the projector approximately 11 m from the screen. The throw ratio will then be 11 4.5 = 2.44 2. Match the result with the lens table. The lens matching a throw ratio of 2.44 is the 2.17 - 2.90 : 1 zoom lens. 3. Check whether the lens covers the required throw distance. The range quoted for the 2.17 - 2.90 : 1 zoom lens is 2.7 - 15.4 m. The required distance of 11 m is within the range. Notes The basic calculation on this page does not take into consideration DMD™ and image size, which could affect the throw ratio. For a more complex and realistic calculation, see Full lens calculation in this section. For information about individual lens part numbers, see Appendix A at the end of this document. INFORMATION YOU NEED FOR THIS CALCULATION • The throw ratio formula: Throw distanceScreen width Throw ratio = • The lens table: Throw ratios Throw distance range 0.77 : 1 fixed lens 1.3 - 2.5 m (4.3 - 8.2 ft) 1.16 : 1 fixed lens 1.4 - 6.2 m (4.6 - 20.3 ft) 1.45 - 1.74 : 1 zoom lens 1.8 - 9.3 m (5.9 - 30.5 ft) 1.74 - 2.17 : 1 zoom lens 2.2 - 11.8 m (7.2 - 38.7 ft) 2.17 - 2.90 : 1 zoom lens 2.7 - 15.4 m (8.9 - 50.5 ft) 2.90 - 4.34 : 1 zoom lens 3.6 - 22.5 m (11.8 - 73.8 ft) 4.34 - 6.76 : 1 zoom lens 5.5 - 35 m (18 - 115 ft) Digital Projection HIGHlite 740 Series Rev I Februar y 2015
page 83 Reference Guide CHOOSING A LENS Full lens calculation Introducing TRC The choice of lens will affect the image size and will address discrepancies between the DMD™ resolution and the source. When an image fills the height of the DMD™ but not the width, it uses less than 100% of the DMD™ surface. A lens chosen using the basic formula may produce an image that is considerably smaller than the actual screen. To compensate for loss of screen space in such situations, you need to in\ crease the throw ratio using a Throw Ratio Correction (TRC). Example Fig. 1 illustrates a 4:3 image within a 1080p DMD™. When a 1080p projector is used for a 4:3 image, the image does not fill the width of the DMD™, creating a pillarboxing effect - blank spaces to the left and right. Fig. 2 shows the same image projected on a 4:3 screen using a standard lens (\ chosen with the basic calculation). The DMD™ accurately fills the width of the screen; however, the pillarboxing is now part of the projected image and is transferred to the screen. The DMD™ does not fill the height of the screen, which has caused letterboxing - further blank spaces at the top and bottom of the screen. The image is now surrounded by blank space, which can be removed if the \ throw ratio is increased. Fig. 3 shows the image projected on the same screen with a lens chosen using\ TRC. The increased throw ratio has allowed the 4:3 image to fill the 4:3 screen seamlessly. Notes TRC can only be applied if greater than 1. If TRC is 1 or less, disregard it and calculate the throw ratio using the basic formula. Fig. 1 Fig. 2 Fig. 3 Digital Projection HIGHlite 740 Series Rev I Februar y 2015
page 84 Reference Guide CHOOSING A LENS Calculating TRC To calculate TRC, use the following formula: DMD™ aspect ratioSource aspect ratio TRC = TRC table Alternatively, you can save time by referencing the following table, which shows the \ TRC value for some popular image formats: 1080pWUXGA 2.35:1 (Scope), 1920 x 817 pixelsTRC < 1, not usedTRC < 1, not used 1.85:1 (Flat), 1920 x 1037 pixelsTRC < 1, not usedTRC < 1, not used 1.78:1 (16:9), 1920 x 1080TRC = 1, not used (native resolution)TRC < 1, not used 1.66:1 (Vista), 1792 x 1080 pixelsTRC = 1.07TRC < 1, not used 1.6:1 (16:10), 1728 x 1080 pixelsTRC = 1.11TRC = 1, not used (native resolution) 1.33:1 (4:3), 1440 x 1080 pixelsTRC = 1.33TRC = 1.2 1.25:1 (5:4), 1350 x 1080 pixelsTRC = 1.42TRC = 1.28 Notes TRC can only be applied if greater than 1. If TRC is 1 or less, disregard it and calculate the throw ratio using the basic formula. Digital Projection HIGHlite 740 Series Rev I Februar y 2015
page 85 Reference Guide CHOOSING A LENS Calculating the throw ratio with TRC 1. For TRC > 1, amend the basic throw ratio formula as follows: Throw distance Screen width x TRC Throw ratio = 2. Once a throw ratio is established, identify the matching lens from the t\ able: Throw ratiosThrow distance range 0.77 : 1 fixed lens1.3 - 2.5 m (4.3 - 8.2 ft) 1.16 : 1 fixed lens1.4 - 6.2 m (4.6 - 20.3 ft) 1.45 - 1.74 : 1 zoom lens1.8 - 9.3 m (5.9 - 30.5 ft) 1.74 - 2.17 : 1 zoom lens2.2 - 11.8 m (7.2 - 38.7 ft) 2.17 - 2.90 : 1 zoom lens2.7 - 15.4 m (8.9 - 50.5 ft) 2.90 - 4.34 : 1 zoom lens3.6 - 22.5 m (11.8 - 73.8 ft) 4.34 - 6.76 : 1 zoom lens5.5 - 35 m (18 - 115 ft) 3. Ensure the required throw distance is within the range of the matching l\ ens. Notes TRC can only be applied if greater than 1. If TRC is 1 or less, disregard it and calculate the throw ratio using the basic formula. Digital Projection HIGHlite 740 Series Rev I Februar y 2015
page 86 Reference Guide CHOOSING A LENS Full lens calculation example Your screen is 4.5 m wide; you wish to place the projector approximately 11 m from the screen. You use a WUXGA projector; the source is 4:3. 1. Calculate TRC as follows: 1.6 1.33 TRC = = 1.2 2. Calculate the throw ratio: 11 4.5 x 1.2 Throw ratio = = 2.04 3. Find a match in the lens table. The table shows that the matching lens is the 1.74 - 2.17 : 1 zoom lens. 4. Check whether the lens covers the required throw distance. The range quoted for the 1.74 - 2.17 : 1 zoom lens is 2.2 - 11.8 m. The required distance of 11 m is within the range. Notes INFORMATION YOU NEED FOR THESE CALCULATIONS • The TRC formula • The TRC table (to use instead of the formula) WUXGA 2.35:1 (Scope) TRC not used 1.85:1 (Flat) TRC not used 1.78:1 (16:9) TRC not used 1.66:1 (Vista) TRC not used 1.6:1 (16:10) TRC not used (native resolution) 1.33:1 (4:3) TRC = 1.2 1.25:1 (5:4) TRC = 1.28 • The throw ratio formula • The lens table: Throw ratios Throw distance range 0.77 : 1 fixed lens 1.3 - 2.5 m (4.3 - 8.2 ft) 1.16 : 1 fixed lens 1.4 - 6.2 m (4.6 - 20.3 ft) 1.45 - 1.74 : 1 zoom lens 1.8 - 9.3 m (5.9 - 30.5 ft) 1.74 - 2.17 : 1 zoom lens 2.2 - 11.8 m (7.2 - 38.7 ft) 2.17 - 2.90 : 1 zoom lens 2.7 - 15.4 m (8.9 - 50.5 ft) 2.90 - 4.34 : 1 zoom lens 3.6 - 22.5 m (11.8 - 73.8 ft) 4.34 - 6.76 : 1 zoom lens 5.5 - 35 m (18 - 115 ft) DMD™ aspect ratio Source aspect ratioTRC = Throw distance Screen width x TRCThrow ratio = Digital Projection HIGHlite 740 Series Rev I Februar y 2015
page 87 Reference Guide SCREEN REQUIREMENTS Screen Requirements Fitting the image to the DMD™ If the source image supplied to the projector is smaller than the DMD™ resolution, the image will not fill the DMD™. The following examples show how a number of common formats may be displayed, depending on your \ DMD™ resolution. 1080p images displayed full width Notes 2.35:1(Scope) = 817 pixels full width = 1920 pixels 1.85:1 = 1037 pixels 16:9 = 1.78:1 = 1080 pixels (native resolution) Digital Projection HIGHlite 740 Series Rev I Februar y 2015
page 88 Reference Guide SCREEN REQUIREMENTS 1080p images displayed full heightNotes 4:3 = 1.33:1 = 1440 pixels full height = 1080 pixels 1.66:1 (Vista) = 1792 pixels16:9 = 1.78:1 = 1920 pixels (native resolution) 16:10 = 1.6:1 = 1728 pixels Digital Projection HIGHlite 740 Series Rev I Februar y 2015
page 89 Reference Guide SCREEN REQUIREMENTS WUXGA images displayed full width WUXGA images displayed with a height of 1080 pixels full width = 1920 pixels 2.35:1(Scope) = 817 pixels 1.85:1 = 1037 pixels 16:9 = 1.78:1 = 1080 pixelsfull height = 1200 pixels Notes 4:3 = 1.33:1 = 1440 pixels full height = 1200 pixels 1.66:1 (Vista) = 1792 pixels 16:10 = 1.6:1 = 1728 pixels max possible image height = 1080 pixels full width = 1920 pixels Digital Projection HIGHlite 740 Series Rev I Februar y 2015
page 90 Reference Guide SCREEN REQUIREMENTS WUXGA images displayed full heightNotes Only WUXGA or UXGA images can fill the full height of the DMD ™, using all 1200 pixels without scaling. full height = 1200 pixels WUXGA = 16:10 = 1.6:1 = 1920 pixels UXGA = 4:3 = 1.33:1 = 1600 pixels Digital Projection HIGHlite 740 Series Rev I Februar y 2015
page 91 Reference Guide SCREEN REQUIREMENTS Diagonal screen sizes Screen sizes are sometimes specified by their diagonal size (D). When dealing with large screens and projection distances at different aspect ratios, it is more convenient to measure screen width (W) and height (H). The example calculations below show how to convert diagonal sizes into w\ idth and height, at various aspect ratios. 2.35:1 (Scope) W = D x 0.92 H = D x 0.39 1.85:1 W = D x 0.88 H = D x 0.47 16:9 = 1.78:1 (native aspect ratio for 1080p projectors) W = D x 0.87 H = D x 0.49 1.66:1 (Vista) W = D x 0.86 H = D x 0.52 16:10 = 1.6:1 (native aspect ratio for WUXGA projectors) W = D x 0.85 H = D x 0.53 Notes D = diagonal W = width H = height Digital Projection HIGHlite 740 Series Rev I Februar y 2015