1. REPRESENTATION of TSUNAMIS in GENERALIZED HYPERSPACE Email: * [email_address] **kingkarn@ice.ci.ritsumei.ac.jp Frank C. Lin* University of Maryland Eastern Shore, Princess Anne, MD. 21801, U.S.A . and Kingkarn Sookhanaphibarn** Ritsumeikan University,Kusatsu, Shiga,525-8577, Japan

2. PLAN of this TALK I. First, we recapitulate a previous study* in which a new, reliable, unequivocal, economical and instantaneous response method for DETECTING tsunamis at birth using TIR images from geostationary satellites; II. We show then the representations for tsunamis can be mapped into each other by a linear transformation. *Lin,F.C., na Nakornphanom, K.Sookhanaphibarn and Lursinsap, C: “A New Paradigm for Detecting Tsunamis by Remote Sensing”, International Journal of Geoinformatics , Vol.6, No.1, March, 2010, p.19-30

5. Fig.2: FY-2C 041226 0800 IR1

6. MAIN EVENT F ig.3: Signal along latitude 1067 (Banda Aceh) at 7 am F ig.4: Signal along latitude 1067 (Banda Aceh) at 8 am

7. Fig. 5: Wavelet Decomposition at Latitude 1067, 7 am Fig. 6: Wavelet Decomposition at Latitude 1067, 8 am

8. TABLE I .

9. Fig.7: Earthquake Locations

10. Fig.8 : Signal from the Sumatra Aftershock at 09:00 a.m Fig.9 : Signal from the Aftershock at 10:00 a.m

11. Fig. 10: Detail Decomposition of Aftershock Signal at 0900 and Latitude 1067 Fig 11 Detail : Decomposition of Aftershock Signal at 1000 and Latitude 1067

12. NOAA Pathfinder V - TIR Images

13. Declouded IR images from the NOAA V5 Pathfinder satellite Fig 12 : Detail Wavelet Decomposition of NOAA Night Image Fig.13 : Detail Wavelet Decomposition of NOAA Day Image

14. 4.The Nicobar Island: (Location 3): Fig.14 : Signal from the Nicobar Aftershock at 0900 LAT 1042 Fig.15 : Signal from the Nicobar Aftershock at 1000 LAT 1042

15. Wavelet Decomposition,Nicobar Fig.16 : Wavelet Decomposition at Nicobar at 0900 LAT 1042 Fig.17 : Wavelet Decomposition at Nicobar at 1000 LAT 1042

16. CASE 1:ANDAMAN-1 and ANDAMAN-4 LAT 1012 : (Location 4 &7): FIG.18 : ANDAMAN-1 & 4 Signal 0600 LAT 1012 Fig.19 : Wavelet Decomposition of ANDAMAN-1 & 4 at 0600, LAT 1012

17. ANDAMAN-4 0700 LAT 1012 Fig.:20 : Signal for ANDAMAN-4 0700 LAT 1012 Fig.21 : Wavelet Decomposition for ANDAMAN-4 0700 LAT 1012

18. At 0800, another tsunami signal is detected at the Andaman-1 epicenter Fig.22 : Signal for ANDAMAN-1 0800 LAT 1012 Fig.23 : Wavelet Decomposition for ANDAMAN-1 0800 LAT 1012 LON 978

19. CASE 2: ANDAMAN-2 , LAT 978 : (Location 5 ): Fig.24 : Satellite Photo of Epicenter for ANDAMAN-2 0800 LON 958

20. No Tsunami Cases : Fig.25 : Signal for ANDAMAN-2 0700 LAT 978 Fig.26 : Wavelet Decomposition of ANDAMAN-2 0700 LAT 978

21. No Tsunami Cases: Fig. 27 : Signal of ANDAMAN-2 0800 LAT 978 LON 958 Fig.28 : Wavelet Decomposition for ANDAMAN-2 0800 LAT 978

22. CASE 3: ANDAMAN-3,LAT 965 (Location 6): Fig.29 : Signal for ANDAMAN-3 10:56 LAT 965 Fig:30 : Wavelet Decomposition for ANDAMAN-3 10:56 LAT 965

23. ANDAMAN-3 Lat.965 11:29 (No Tsunami Signal) Fig.31 : Signal for ANDAMAN-3 11:29 LAT 965 LON 955 Fig.32 : Wavelet Decomposition for ANDAMAN-3 11:29 LAT 965 LON 955

27. Earthquake vs Infrared Tsunami Index at Epicenter

30. The Vector Representation We can represent a tsunami by a vector , with the components x, y, z, t, M e , M t and P x (pixel brightness).

34. Questions, Comments??